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1013235000 = 23354312179
BaseRepresentation
bin111100011001001…
…011110100111000
32121121120200010020
4330121023310320
54033342010000
6244313050440
734052232621
oct7431136470
92547520106
101013235000
1147aa434a8
122433b6a20
13131bc234b
14987d4a48
155de47ba0
hex3c64bd38

1013235000 has 160 divisors (see below), whose sum is σ = 3268953600. Its totient is φ = 261360000.

The previous prime is 1013234947. The next prime is 1013235001. The reversal of 1013235000 is 5323101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013235001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 463911 + ... + 466089.

It is an arithmetic number, because the mean of its divisors is an integer number (20430960).

Almost surely, 21013235000 is an apocalyptic number.

1013235000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634476800).

1013235000 is an abundant number, since it is smaller than the sum of its proper divisors (2255718600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013235000 is a wasteful number, since it uses less digits than its factorization.

1013235000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1013235000 is about 31831.3524689103. The cubic root of 1013235000 is about 1004.3923457190.

Adding to 1013235000 its reverse (5323101), we get a palindrome (1018558101).

The spelling of 1013235000 in words is "one billion, thirteen million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 625 744 750 775 930 1000 1240 1250 1500 1550 1860 1875 2179 2325 2500 3000 3100 3720 3750 3875 4358 4650 5000 6200 6537 7500 7750 8716 9300 10895 11625 13074 15000 15500 17432 18600 19375 21790 23250 26148 31000 32685 38750 43580 46500 52296 54475 58125 65370 67549 77500 87160 93000 108950 116250 130740 135098 155000 163425 202647 217900 232500 261480 270196 272375 326850 337745 405294 435800 465000 540392 544750 653700 675490 810588 817125 1013235 1089500 1307400 1350980 1361875 1621176 1634250 1688725 2026470 2179000 2701960 2723750 3268500 3377450 4052940 4085625 5066175 5447500 6537000 6754900 8105880 8171250 8443625 10132350 10895000 13509800 16342500 16887250 20264700 25330875 32685000 33774500 40529400 42218125 50661750 67549000 84436250 101323500 126654375 168872500 202647000 253308750 337745000 506617500 1013235000